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The volume of a right circular cone is 2512 cm cube and its radius and height are in ratio 5 : 12. Find its ra?

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  • The volume of a right circular cone is 2512 cm cube and its radius and height are in ratio 5 : 12. Find its ra?


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Answer #1 | 08/02 2014 11:10
V = (1/3)(pi)(r^2)(h) V = 2512cm^3 12r = 5h or h = 12r/5 2512 = (1/3)(pi)(r^2)(12r/5) 2512/(3/pi) = r^2(12r/5) 2512(pi)/3 = 12r^3/5 cross multiply: 12,560(pi) = 36r^3 r^3 = 12,560(pi)/36 r^3 ~ 1096.07 r ~ 10.31cm - .--
Answer #2 | 08/02 2014 11:03
Volume = pi*r^2*h/3 = pi * (5h/12)^2 * h/3 = 2512 cm^3 Solving for h => h = 24 cm r =10 cm

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